Claudio Arezzo

Head of the Section
Head, Mathematics Group
Claudio Arezzo
Mathematics
+39 040 2240 255
arezzo@ictp.it
+39 040 2240 255
arezzo@ictp.it
LB-105
0000-0002-8752-0812

Claudio Arezzo

Date of birth: October 29th 1970 Place of birth: Genova, Italy
Academic informations:
January 2018-today: Acting Head of Mathematics Section, ICTP.
September 2010-today : Research Scientist at ICTP, Trieste
December 2004: Full Professor of Geometry at the University of Parma.
1/3/2000 - December 2004 : Associate Professor of Geometry at the University of Parma, Italy.
1/6/2000 - 1/7/2000 : Visiting Professor at the University of Paris XII, France.
21/12/1998 - 28/2/2000 : Research assistant at University of Genova, Italy.
9/1998 - 6/1999: Visiting Research Fellow at Massachusetts Institute of Technology (U.S.A.).
9/1997 - 8/1999: Visiting Research Fellow at Stanford University (U.S.A.).
1/1997 - 8/1997: Postdoctoral Fellow at University of Warwick (U.K.).
10/1993 - 1/1997: Ph. D. in Mathematics at University of Warwick (U.K.), discussing a thesis on "Minimal surfaces and holomorphic curves in Kähler manifolds", advisor M.J. Micallef, in Cambridge (U.K.) on 10/11/1996.

Publications

Journal article
2022
Localization in the Discrete Non-linear Schrödinger Equation and Geometric Properties of the Microcanonical Surface
Journal of Statistical Physics (2022)
Claudio Arezzo | Federico Balducci | Riccardo Piergallini | Antonello Scardicchio | Carlo Vanoni
Book chapter
2020
Big and Nef Classes, Futaki Invariant and Resolutions of Cubic Threefolds
Progress in Mathematics (2020)
Arezzo, C. | Vedova, A.D.
Journal article
2019
On the Kummer construction for Kcsc metrics
Bolletino dell Unione Matematica Italiana (2019)
Arezzo, C. | Vedova, A.D. | Lena, R. | Mazzieri, L.
Journal article
2018
On the Curvature of Conic Kähler–Einstein Metrics
Journal of Geometric Analysis (2018)
Arezzo, C. | Della Vedova, A. | La Nave, G.
Book
2017
Generalized connected sum constructions for resolutions of extremal and Kcsc orbifolds
Springer INdAM Series (2017)
Arezzo, C.
Journal article
2016
Some remarks on the symplectic and Kähler geometry of toric varieties
Annali di Matematica Pura ed Applicata (2016)
Arezzo, C. | Loi, A. | Zuddas, F.
Journal article
2016
A variational characterization of complex submanifolds
Mathematische Annalen (2016)
Arezzo, C. | Sun, J.
Journal article
2016
On cscK resolutions of conically singular cscK varieties
Journal of Functional Analysis (2016)
Arezzo, C. | Spotti, C.
Journal article
2016
On the resolution of extremal and constant scalar curvature kähler orbifolds
International Mathematics Research Notices (2016)
Arezzo, C. | Lena, R. | Mazzieri, L.
Journal article
2015
A variational characterization of J-holomorphic curves
Journal fur die Reine und Angewandte Mathematik (2015)
Arezzo, C. | Sun, J.
Journal article
2015
Geometric flows and Kähler reduction
Journal of Symplectic Geometry (2015)
Arezzo, C. | Vedova, A.D. | La Nave, G.
Book chapter
2014
Geometric constructions of extremal metrics on complex manifolds
Springer INdAM Series (2014)
Arezzo, C.
Journal article
2013
Self-shrinkers for the mean curvature flow in arbitrary codimension
Mathematische Zeitschrift (2013)
Arezzo, C. | Sun, J.
Journal article
2013
Szegö kernel, regular quantizations and spherical CR-structures
Mathematische Zeitschrift (2013)
Arezzo, C. | Loi, A. | Zuddas, F.
Journal article
2013
Conformal solitons to the mean curvature flow and minimal submanifolds
Mathematische Nachrichten (2013)
Arezzo, C. | Sun, J.
Journal article
2012
On homothetic balanced metrics
Annals of Global Analysis and Geometry (2012)
Arezzo, C. | Loi, A. | Zuddas, F.
Journal article
2012
Singularities and K-semistability
International Mathematics Research Notices (2012)
Arezzo, C. | Della Vedova, A. | La Nave, G.
Journal article
2011
On the K-stability of complete intersections in polarized manifolds
Advances in Mathematics (2011)
Arezzo, C. | Della Vedova, A.
Journal article
2011
Extremal metrics on blowups
Duke Mathematical Journal (2011)
Arezzo, C. | Pacard, F. | Singer, M.
Journal article
2009
Blowing up Kähler manifolds with constant scalar curvature, II
Annals of Mathematics (2009)
Arezzo, C. | Pacard, F.
Journal article
2007
Stable bundles and the first eigenvalue of the Laplacian
Journal of Geometric Analysis (2007)
Arezzo, C. | Ghigi, A. | Loi, A.
Journal article
2006
Blowing up and desingularizing constant scalar curvature Kähler manifolds
Acta Mathematica (2006)
Arezzo, C. | Pacard, F.
Journal article
2006
Symmetries, quotients and Kähler-Einstein metrics
Journal fur die Reine und Angewandte Mathematik (2006)
Arezzo, C. | Ghigi, A. | Pirola, G.P.
Journal article
2005
Symmetries and Kähler-Einstein Metrics
Bollettino della Unione Matematica Italiana B (2005)
Arezzo, C. | Ghigi, A.
Journal article
2005
Minimal two spheres in Kähler-Einstein Fano manifolds
Advances in Mathematics (2005)
Arezzo, C. | La Nave, G.
Journal article
2004
A note on kähler - Einstein metrics and bochner's coordinates
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg (2004)
Arezzo, C. | Loi, A.
Journal article
2004
Moment maps, scalar curvature and quantization of Kähler manifolds
Communications in Mathematical Physics (2004)
Arezzo, C. | Loi, A.
Journal article
2004
The Weierstrass representation for pluriminimal submanifolds
Hokkaido Mathematical Journal (2004)
Arezzo, C. | Pirola, G.P. | Solei, M.
Journal article
2003
Infinite geodesic rays in the space of Kähler potentials
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2003)
Arezzo, C. | Tian, G.
Journal article
2003
Quantization of Kähler manifolds and the asymptotic expansion of Tian-Yau-Zelditch
Journal of Geometry and Physics (2003)
Arezzo, C. | Loi, A.

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